Question

Solve the following polynomial equation by grouping and factoring.36y^3−49y=0

Answer 1

36y³ - 49y = 0

y(36y² - 49) = 0

Then, the first root is y = 0, while the another root is given by 36y² - 49 = 0

From this, we have:

36y² = 49

y² = 49/36

Then we have y = 7/6 or y = -7/6

The set of solutions is given by {-7/6,0,7/6}